# Application of Derivatives

Subject: Mathematics    Exam: MUOET Engineering

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## Important Concepts in Application of Derivatives

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• Derivative as the Rate of Change

• Motion in a Straight Line

• Increasing Functions

• Decreasing Functions

• Monotonic Functions

• Tangents and Normals

• Angle of Intersection of Two Curves

• Critical Points

• Maxima and Minima

• Rolle's Theorem

• Lagrange's Mean Value Theorem

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## Important Points

Second Derivative Test: Let f be twice differentiable, and let c be a root of the equation f'(x) = 0. Then
a) c is a local maximum point if f''(c) < 0
b) c is a local minimum point if f''(c) > 0

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